Atkin-Lehner |
2- 3- 7- 31+ |
Signs for the Atkin-Lehner involutions |
Class |
41664dy |
Isogeny class |
Conductor |
41664 |
Conductor |
∏ cp |
16 |
Product of Tamagawa factors cp |
Δ |
222193778688 = 219 · 32 · 72 · 312 |
Discriminant |
Eigenvalues |
2- 3- 0 7- -6 2 6 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-6433,195167] |
[a1,a2,a3,a4,a6] |
j |
112329015625/847602 |
j-invariant |
L |
4.0025905337443 |
L(r)(E,1)/r! |
Ω |
1.0006476334378 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
41664i2 10416x2 124992fq2 |
Quadratic twists by: -4 8 -3 |